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REMOTE MICROMECHANICAL ENTANGLEMENT AND THE THEORY OF OBJECTIVITY

Vidamor Cabannas

Published Oct 4, 2026• 0 citations
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Abstract

Ralf Riedinger and collaborators’ 2018 experiment, “Remote Quantum Entanglement between Two Micromechanical Oscillators,” represents an important development in experimental quantum optomechanics because it demonstrates entanglement between engineered mechanical systems located on separate silicon chips. The devices were physically separated by approximately 20 cm and connected through an optical inter- ferometric architecture with an optical path of approximately 70 m. Mechanical modes centered around 5.1 GHz were interfaced with photons near the telecommunications wavelength of 1553.8 nm. A heralding protocol based on Stokes scattering created a delocalized single-phonon excitation, while an anti-Stokes read pulse converted the mechanical excitation back into the optical domain for measurement. The reported symmetric mechanical entanglement witness, Rm,sym = 0.74+0.08 −0.05, lies below the separability bound R = 1, leading the authors to report entanglement with confidence exceeding 99.8 percent (Riedinger et al. 2018). This article develops an expanded critical–propositional examination of that experiment in systematic dialogue with the Theory of Objectivity (TO), as developed by Vidamor Cabannas and Denivaldo Silva from 2016 through 2026. The analysis distinguishes three epistemic levels that must not be conflated: modal necessity, empirical corroboration, and analogical compatibility. In the TO, the Absolute Truths are intended to occupy a modal-ontological level: their truth, if successfully demonstrated, would not depend upon contingent experimental confirmation. Experiments nevertheless remain indispensable for testing whether operational consequences associated with those axioms are instantiated in physical phenomena. Particular attention is given to Absolute Truth One, according to which prior to the emergence of the universe there was Nothing, although this Nothing is not absolute non-being but an eternal logical and mathematical essence; Absolute Truth Two, according to which every existent element possesses a field proper and exclusive to itself that individualizes it; and Absolute Truth Five, according to which an element must be observed by, or lie within the frequency relation of, at least two other elements in order to acquire logical existence, with “observation” referring to physical relations among elements rather than human consciousness. The remaining Absolute Truths are also examined insofar as they concern infinity, boundaries, composition, and the transcendent informational element. The Riedinger experiment does not test primordial Nothingness, infinity, the cosmogonic theorem, or the cosmological eras of the TO directly. Nor does it experi- mentally establish that every element has an exclusive magnetic field, or that logical existence universally requires two observing elements. It does, however, establish a highly relevant empirical domain in which physical individuality, relational state forma- tion, loss of which-path information, optical mediation, mechanical storage, conversion between photons and phonons, and nonseparable correlations occur in a controlled system. Especially significant for the TO is the fact that the relevant physical pro- cesses require no human observer: interactions among resonators, optical modes, beam splitters, detectors, and radiation are sufficient to prepare, transform, and reveal the state. The analysis therefore concludes that Riedinger et al. provide neither a proof nor a direct confirmation of the Theory of Objectivity as a whole. They do, however, offer a strong empirical bridge to operational consequences compatible with the TO’s relational and informational ontology. The experiment is particularly fertile for the TO’s treatment of Absolute Truth Five and of the transcendent element understood as knowledge or information generated in atomic relations and associated with radiation. The article proposes a series of more discriminating future tests intended to separate broad quantum-mechanical relationality from distinctive empirical consequences that would have to follow specifically from the TO. Keywords: Theory of Objectivity; quantum entanglement; micromechanical oscillator; optomechanics; modal ontology; information; radiation; phonon; photon; nonseparabil- ity; Absolute Truths; empirical testability.

DOI
10.17605/osf.io/yhbj7

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•Oct 6, 2026•0 citations
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This article develops an expanded critical–propositional analysis of D. L. Moehring, P. Maunz, S. Olmschenk, K. C. Younge, D. N. Matsukevich, L.-M. Duan, and C. Monroe’s experiment, “Entanglement of Single-Atom Quantum Bits at a Distance,” published in Nature 449 (2007): 68–71, DOI https://doi.org/10.1038/nature06118, in systematic dialogue with the Theory of Objectivity (TO) formulated by Vidamor Cabannas and Denivaldo Silva. Moehring et al. experimentally generated heralded entanglement between two individually trapped 171Yb+ atomic ions separated by approximately one metre. Each ion emitted a photon whose quantum degrees of freedom became correlated with the internal atomic state. The photons were transmitted through optical channels, interfered at a common beam-splitter interface, and subjected to coincidence detection. Successful joint photon detection projected the spatially separated atomic memories into an entangled state. The reported Bell-state fidelity was F = 0.63 ± 0.03, with a positive lower bound on entanglement of formation, providing experimental evidence that the remote atomic qubits possessed nonclassical correlations. The experiment is examined here not as a direct proof of the complete ontology of the Theory of Objectivity, but as an unusually rich empirical domain in which several TO propositions can be confronted with reproducible physical phenomena. Particular attention is given to the Fourth, Fifth, Sixth, and Seventh Absolute Truths; to the TO concepts of boundaries, non-human observation, frequency-mediated relations, composition, Inductive Effects, and transcendent information; and especially to the TO claim that the transcendent element corresponds to knowledge or information produced through atomic relations and is physically equivalent, or closely linked, to atomic radiation. Moehring et al. provide a particularly significant operational sequence in this regard: atomic-state relations generate emitted radiation; the radiation physically carries state-correlated information; independent radiation fields are brought into a common interface; and the resulting relational event establishes a measurable new relation between distant atomic systems. The analysis nevertheless identifies important limits. The experiment does not address the First Absolute Truth concerning Logical Nothingness, does not test the Third Absolute Truth concerning Infinity, and does not by itself demonstrate the Second Absolute Truth’s stronger claim that every existing element possesses a magnetic field uniquely and exclusively individualizing it. Likewise, coincidence detection is not identical to the modal simultaneity required by the Fifth Absolute Truth, and quantum information is not, within standard physics, automatically identical to the ontological “knowledge” proposed by TO. The article concludes that Moehring et al. provide substantial indirect empirical support for specific operational bridges compatible with TO, especially the relational sequence linking atomic interactions, radiation, encoded information, physical inter- faces, and compositional emergence, while leaving the complete modal ontology of TO independently to be justified at its logical level. Keywords: Theory of Objectivity; remote entanglement; atomic qubits; quantum information; atomic radiation; transcendent information; relational ontology; Inductive Effects; modal ontology; quantum networks; Vidamor Cabannas; Denivaldo Silva; D. L. Moehring.
The experimental work of Imam Usmani, Christoph Clausen, Félix Bussières, Nicolas Sangouard, Mikael Afzelius, and Nicolas Gisin, published in Nature Photonics in 2012 under the title “Heralded Quantum Entanglement between Two Crystals,” demonstrated heralded entanglement between two spatially separated solid-state quantum memories formed by rare-earth-ion ensembles (Usmani et al. 2012). A heralded single photon was placed in a path-entangled state and subsequently mapped onto two N d3+ : Y2SiO5 crystals. After a predetermined storage interval, the collective matter excitation was converted back into optical fields, whose interference properties and concurrence estimates provided evidence for entanglement between the memories. The experiment is particularly relevant to the Theory of Objectivity (TO) because the TO assigns foundational significance to individualization, boundaries, relational existence, composition, atomic relations, information, and radiation (Cabannas and Silva 2016, 2018, 2025). This article develops a critical–propositional dialogue between the Usmani ex- periment and the modal architecture of the Theory of Objectivity. Particular attention is devoted to the First Absolute Truth, according to which the pre-universal Nothing is not absolute non-being but an eternal logical and mathematical essence; the Second Ab- solute Truth, according to which every existing element possesses a unique intrinsic field that individualizes it; the Fifth Absolute Truth, according to which an element requires relational observation by at least two other elements rather than human observation; and the Seventh Absolute Truth, according to which knowledge or information produced through atomic relations constitutes the transcendent element and is associated, within the TO framework, with atomic radiation. The analysis finds no direct empirical contact between Usmani et al. and the First or Third Absolute Truths. It identifies meaningful but incomplete compatibility with the Second, Fourth, and Fifth Absolute Truths, strong compositional compatibility with the Sixth, and the most significant phenomenological bridge with the Seventh. The experimentally realized sequence radiation −→ collective atomic excitation −→ radiation shows that quantum information initially carried by light can be mapped onto collective atomic degrees of freedom and subsequently recovered in optical form. This result constitutes a scientifically relevant bridge for the TO proposition connecting information, atomic relations, and radiation. Nevertheless, it does not demonstrate that information is ontologically identical to a transcendent substance, nor does it establish the modal necessity of the Seven Absolute Truths. The article therefore distinguishes empirical compatibility, indirect corroboration, operational bridge-building, direct testing, and exclusive confirmation. It concludes by proposing measurable TO-inspired variables and experiments capable of converting interpretive parallels into differential predictions. A final appendix presents the analysis in a TO-style modal–operational format. Keywords: Theory of Objectivity; heralded entanglement; quantum memory; rare- earth-ion crystals; atomic frequency comb; quantum information; atomic radiation; transcendent information; relational ontology; modal necessity; quantum networks; boundaries; Inducer Effects; cosmological eras.
This article develops an expanded critical–propositional analysis of M. Lettner et al.’s experiment, Remote Entanglement between a Single Atom and a Bose-Einstein Condensate, published in Physical Review Letters 106, 210503, in systematic dialogue with the Theory of Objectivity (TO) formulated by Vidamor Cabannas and Denivaldo Silva (Lettner et al., 2011; Cabannas and Silva, 2016, 2025). Lettner et al. experimentally generated entanglement between a single 87Rbatomconf inedinahigh− f inesseopticalcavityandaspatiallyseparatedBose−Einsteincondensate(BEC).Aphotonf irstbecameentangledwiththeatomicspinstate, propagatedthroughapproximately30mofopticalf iber, andwassubsequentlyconvertedthroughanelectromagneticallyinducedtransparency− basedRamanprocessintoacollectivespin−waveexcitationof theBEC.T heexperimenttherebytransformedatom− −photonentanglementintoremotematter−−matterentanglementandlaterreconvertedthatcorrelationintophoton− −photonentanglementformeasurement.T hetwostationarymattersystemswereseparatedbyapproximately13m.T hereportedsinglet− statef idelityfollowingtheconcatenatedtransferoperationswas [ F=(95.0±3.4)] while the matter–matter entanglement persisted on the order of 100,µs, withanexperimentalentanglementhalf− timeof [ t1/2 = 86 ± 18, µs] (Lettner et al., 2011). The analysis does not interpret these findings as a direct confirmation of the complete ontology of the Theory of Objectivity. Instead, it distinguishes empirical compatibility, operational analogy, potential indirect corroboration, ontological inter- pretation, and modal necessity. Particular attention is given to the Fourth, Fifth, Sixth, and Seventh Absolute Truths of TO: boundaries and interfaces; non-anthropocentric relational observation; composition through preceding elements and relations; and the transcendent element understood in TO as knowledge or information generated in atomic relations and associated with atomic radiation. The Second Absolute Truth is also examined because Lettner et al. identify local magnetic-field noise as a principal source of decoherence and employ controlled magnetic hold fields to preserve the relevant Zeeman-state structure. A central theoretical question emerges from the photon–magnon–photon se- quence. Lettner et al. show that quantum information initially encoded in propagating electromagnetic radiation can be converted into a stationary collective material excita- tion and later recovered as radiation. This result is compatible with the TO proposition that atomic relations can generate physically consequential information and that radia- tion can transport such information. It also generates a productive tension if the TO equivalence between transcendent information and atomic radiation is interpreted as strict identity rather than as a relation between informational content and physically convertible carriers. The article therefore proposes a refined operational distinction among informa- tional content, radiative transport, material storage, and retrieval. It further examines phenomenic elements, Inducing Effects, the TO cosmogonic theorem, and its cosmologi- cal Eras. It argues that the Lettner experiment provides no empirical test of primordial logical Nothingness, the origin of the universe, or the cosmological Eras proposed by TO. Analogies between laboratory state conversion and cosmological organization must consequently remain explicitly analogical. The article concludes that Lettner et al. provide a significant operational bridge for studying TO propositions concerning relational information, radiation, boundary- mediated transformations, collective organization, magnetically sensitive coherence, and non-human observation, while leaving the stronger modal and cosmological propositions of TO independently dependent upon logical demonstration, formal development, and discriminating empirical consequences. Keywords: Theory of Objectivity; remote entanglement; Bose-Einstein condensate; quantum information; quantum memory; atomic radiation; photon; magnon; relational ontology; modal necessity; magnetic field; observation; quantum networks.
This article develops an expanded critical–propositional analysis of D. N. Matsukevich, T. Chanelière, S. D. Jenkins, S.-Y. Lan, T. A. B. Kennedy, and A. Kuzmich’s 2006 experiment, “Entanglement of Remote Atomic Qubits,” published in Physical Review Letters 96, 030405, in systematic dialogue with the Theory of Objectivity (TO) formulated by Vidamor Cabannas and Denivaldo Silva. Matsukevich et al. experimentally generated entanglement between two spatially separated collective atomic qubits using a photon as the mediating quantum system. An atom–photon entangled state was initially generated at site A through Raman scattering in a cold ensemble of rubidium-85 atoms. The photonic component was transmitted through an optical fiber to site B, where electromagnetically induced transparency enabled the coherent mapping of photonic polarization information into collective atomic spin excitations. The atomic states were later converted back into photonic states and analyzed through polarization correlations. The measured Bell parameter was Sexp = 2.16 ± 0.03, exceeding the corresponding local Bell bound, |S| ≤ 2. Matsukevich et al. reported that the experimental rates were not corrected for background or detector dark counts, while their model indicated an ideal value near 2.60 (Matsukevich et al. 2006). The experiment is examined here neither as a direct proof of the complete ontology of TO nor as an empirical derivation of its Absolute Truths, but as a potential operational domain in which consequences structurally compatible with TO may be identified and distinguished from stronger propositions not established by the data. Particular attention is devoted to the Fourth, Fifth, Sixth, and Seventh Absolute Truths. The analysis argues that the experimentally realized sequence of atomic relation, photonic emission, information propagation, atomic storage, and photonic retrieval provides a particularly significant empirical analogue for the TO conception of transcendent information as information or knowledge generated through atomic relations and associated, within TO, with atomic radiation. The distinction between information carried or instantiated by radiation and the stronger TO thesis of an ontological equivalence between information and atomic radiation is maintained throughout. The Matsukevich experiment demonstrates the former proposition; the latter remains a theoretical commitment of TO requiring independent formal and empirical specification. The experiment also provides a productive domain for examination of TO’s concept of non-human observation. The protocol depends upon physical interactions, correlations, state mappings, and detector registrations, while attributing no constitutive physical role to human consciousness. This is compatible with the interpretation of the Fifth Absolute Truth according to which observation is a relation among physical elements rather than an act of human perception. Nevertheless, quantum mechanics as employed in the experiment does not establish TO’s stronger modal requirement that an element must be observed or fall within the frequency relation of at least two other elements in order to possess logical existence. The paper additionally examines possible relations between the experiment and the phenomenic elements of TO, its Expansive and Reductive Inducing Effects, its cosmogonic theorem, and its cosmological eras. The analysis concludes that Matsukevich et al. provide significant indirect empirical support for several operational bridges envisaged by TO, especially relational differentiation, composition, matter–light information transfer, and physical memory, but do not uniquely select TO over standard quantum mechanics. A stronger empirical program for TO therefore requires quantitative predictions that differ from, restrict, or supplement established quantum-mechanical predictions. Keywords: Theory of Objectivity; remote atomic qubits; quantum entanglement; Bell inequality; quantum memory; matter–light interface; information; atomic radiation; rela- tional observation; modal necessity; EIE; EIR; quantum foundations.
This article develops an expanded critical-propositional analysis of D. Hucul, I. V. Inlek, G. Vittorini, C. Crocker, S. Debnath, S. M. Clark, and C. Monroe’s experiment, “Modular Entanglement of Atomic Qubits Using Photons and Phonons,” published in Nature Physics 11, 37–42, in systematic dialogue with the Theory of Objectivity (TO) formulated by Vidamor Cabannas and Denivaldo Silva. Hucul et al. demonstrated a modular quantum architecture in which three trapped 171Yb+ atomic-ion qubits distributed between two physically separated modules were connected through two complementary mediating systems. Remote entanglement between modules was generated probabilistically through spontaneously emitted photons, optical interference, Bell-state-sensitive coincidence detection, and heralding, whereas deterministic entanglement between ions within the same module was established through Coulomb-coupled phonon modes. The experiment achieved an average remote Bell-state fidelity of Fremote = 0.78 ± 0.03, a remote entanglement generation rate of approximately R = 4.5 s−1 , a coherence time of approximately τ = 1.12 s, and intramodular entanglement fidelity of approximately Flocal = 0.85 ± 0.01. It further integrated photonic and phononic buses to produce experimentally observable three-particle correlations. The analysis examines possible correspondences between these results and the seven Absolute Truths of TO, while maintaining a rigorous distinction among modal necessity, empirical compatibility, indirect corroboration, and theoretical identity. Par- ticular attention is given to VA2, concerning the individualized field associated with each element; VA4, concerning boundary and interface; VA5, according to which an element must be observed or situated within the frequency relation of at least two other elements for logical existence; VA6, concerning composition; and VA7, associated in the contemporary formulation of TO with transcendent knowledge or information generated in atomic relations and considered equivalent to atomic radiations. The Hucul experiment is especially significant for the latter proposition because spontaneously emitted radiation physically carries quantum correlations dependent on atomic states and can mediate the constitution of new atom-atom relations across spatially separated modules. The article also analyzes possible relations with TO’s phenomenic elements, Inducing Effects, cosmogonic theorem, and cosmological Eras. It argues that Hucul et al. provide substantial empirical material for constructing operational bridges concerning radiation-information, relational composition, fields, frequencies, interfaces, and non-anthropocentric physical observation. Nevertheless, the experiment does not establish the modal necessity of TO’s axioms, does not empirically demonstrate logical Nothingness, and does not directly verify its cosmogenesis or cosmological Eras. Its strongest contribution to TO is therefore not a confirmation of the theory as a whole but the empirical realization of a class of physical processes that can be translated into explicit and measurable bridge propositions. On this basis, the article assigns Hucul et al. a dialogue score of 8.0/10 relative to TO. Keywords: Theory of Objectivity; modular quantum computing; quantum entangle- ment; atomic qubits; photons; phonons; radiation-information; modal necessity; atomic relations; non-anthropocentric observation; Inducing Effects; phenomenic elements; Vidamor Cabannas; Denivaldo Silva; Hucul; quantum information.
This article develops an expanded critical–propositional analysis of Rupert Ursin and collaborators’ experiment, “Entanglement-Based Quantum Communication over 144 km,” published in Nature Physics in 2007, in systematic dialogue with the Theory of Objectivity (TO) developed by Vidamor Cabannas and Denivaldo Silva. Ursin et al. experimentally demonstrated entanglement-based quantum communication through a free-space optical link of approximately 144 km between the Canary Islands of La Palma and Tenerife. Among the principal results, the authors reported a Clauser– Horne–Shimony–Holt Bell parameter of S = 2.508 ± 0.037, obtained from 7,058 coincidence events accumulated during 221 seconds, cor- responding to a violation of the local CHSH bound by more than thirteen standard deviations. The same experimental infrastructure was also employed for entanglement- based quantum key distribution, thereby converting experimentally accessible photon correlations into operational information. The purpose of the present study is not to claim that Ursin et al. experimentally proved the Theory of Objectivity. Instead, three epistemological levels are explicitly distinguished: empirical confirmation of quantum phenomena within contemporary physics; structural or conceptual compatibility between such phenomena and the modal vocabulary of TO; and specific empirical confirmation of predictions uniquely or discriminatively derived from TO. This distinction is indispensable because the Ursin experiment predates the published foundational TO literature and therefore cannot constitute a prospective experimental prediction of that theory. The strongest dialogue is identified with the Fifth Absolute Truth, according to which an element requires relational observation or inclusion within the frequency of at least two other elements in order to acquire logical existence, where “observation” is understood as objective physical relation rather than human consciousness. The experimental structure of Ursin et al. is profoundly relational: entangled photons are jointly generated, spatially separated, locally interrogated by physical devices, converted into detector events, temporally registered, and finally identified through correlations among physical records. The experiment therefore provides a significant operational analogue for relational objectivity, while it does not prove the stronger modal assertion that precisely two external relations constitute a universal ontological minimum for existence. A second major area of dialogue concerns the TO concept of the transcendent element. In TO, knowledge or information produced through atomic relations is re- garded as transcendent and is associated with atomic radiation. Ursin et al. empirically display a physical sequence in which electromagnetic radiation carries quantum de- grees of freedom, relations between distant measurement results become experimentally accessible correlations, and these correlations are subsequently converted into crypto- graphically useful information. Nevertheless, standard quantum information theory does not thereby identify information ontologically with radiation. The experiment therefore supports a radiation–relation–information bridge while leaving the stronger TO ontological identity thesis unconfirmed. The analysis also examines the First, Second, Third, Fourth, Sixth, and Seventh Absolute Truths; the phenomenic elements; Inductive Effects; the TO cosmogonic theorem; and the cosmological Eras. Particular attention is paid to conceptual tensions. Ursin et al. do not investigate primordial Nothingness, do not test Infinity as a non- element, do not measure an exclusive magnetic aura individually belonging to each photon, and do not provide evidence for the TO cosmological Eras. Moreover, Bell nonlocality must not be confused with controllable superluminal communication. The article concludes that Ursin et al. constitute an important independent ret- rospective empirical interlocutor for TO, especially with respect to relational objectivity, boundaries, composition, and the transformation of radiation-mediated correlations into information. The central scientific challenge for TO is to convert these conceptual correspondences into quantitatively defined operational bridges capable of producing experimentally discriminating predictions. Keywords: Theory of Objectivity; quantum entanglement; Ursin; Bell inequality; CHSH; quantum communication; quantum information; relational observation; modal necessity; radiation; information; Inductive Effects; quantum nonlocality; physical boundaries; empirical corroboration.